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116727975936 = 212331131361
BaseRepresentation
bin110110010110110000…
…1111001000000000000
3102011021222021120022000
41230231201321000000
53403024330212221
6125342445344000
711301425265435
oct1545541710000
9364258246260
10116727975936
114555a999000
121a757b68000
13b01334b960
14591496db8c
153082acbe26
hex1b2d879000

116727975936 has 832 divisors, whose sum is σ = 416349185280. Its totient is φ = 32115916800.

The previous prime is 116727975919. The next prime is 116727975953. The reversal of 116727975936 is 639579727611.

116727975936 is a `hidden beast` number, since 1 + 16 + 7 + 27 + 9 + 7 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116727975919) and next prime (116727975953).

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×1167279759362 (a number of 23 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 116727975936 = 14963 + 48403 = 21123 + 47523.

Its product of digits (30005640) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1913573346 + ... + 1913573406.

Almost surely, 2116727975936 is an apocalyptic number.

116727975936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116727975936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208174592640).

116727975936 is an abundant number, since it is smaller than the sum of its proper divisors (299621209344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116727975936 is an equidigital number, since it uses as much as digits as its factorization.

116727975936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The spelling of 116727975936 in words is "one hundred sixteen billion, seven hundred twenty-seven million, nine hundred seventy-five thousand, nine hundred thirty-six".